Calculate The Area Of The Parrellogram (2024)

For finding the radius we have to calculate by using the following formulae A=πr². This will find the radius.

What is radius?

the separation between a circle's centre and circumference. Its diameter is halves that of the circle.

Now according to the question,

entire windows area is 1520.54

A=πr²

1520.54 =(22/7)×r²

r = sqrt((1520.54×7)/22)

r=21.99

The question is:

If the entire area of the windows is 1520.54. What will be the radius of it?

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I hope you like it. This is it

By the Fundamental Theorem of Algebra, the function, f(x) = 5x⁶ + 2x³ −4x + 1, has exactly 6 complex zeros (counting multiplicities)

Determining how many zeros has a function

From the question, we are to determine the number of zeros the given function has

From the given information,

The given function is

f(x) = 5x⁶ + 2x³ −4x + 1

From the Fundamental Theorem of Algebra which states that any polynomial function of degree n has exactly n complex zeros (counting multiplicities).

In this case, the degree of the polynomial function f(x) = 5x⁶ + 2x³ - 4x + 1 is 6.

Hence, the function has exactly 6 complex zeros (counting multiplicities).

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Below are the field properties or axioms of equality used to justify each step.

What is an axiom answer?

An axiom is a rule or statement that is generally accepted to be true without proof. An axiom is also called a postulate.

7(x + 3) = 4 + 3x

7x + 21 = 4 + 3x --- Distributive Property of Multiplication over Addition

7x + 21 = 3x + 4 --- Subtraction Property of Equality

4x + 21 = 4 ---- Commutative Property of Addition

4x = - 17 -------- Subtraction Property of Equality

1/4 * (4 * 1) = 1/4 * (- 17) ----- Multiplication Property of Equality

x = 1/4 * (- 17) ----- Multiplicative Identity Property

x =-17/4 ----- Multiplicative Inverse Property

Hence, Above are the field properties or axioms of equality used to justify each step.

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Answer: The delivered price of the car was $30,943.85, and the amount due was $26,643.85.

Step-by-step explanation:

To calculate the delivered price of the car, we need to add up all the costs associated with the purchase:

Purchase price = $30,875

Sales tax at 7% = 0.07 x ($30,875 - $250) = $2,080.25

Extended warranty = $390

Registration fees = $128

Total cost = $30,875 + $2,080.25 + $390 + $128 = $33,473.25

To calculate the amount due, we need to subtract the rebate and the down payment from the delivered price:

Delivered price = $33,473.25

Rebate = $250

Down payment = $4,300

Amount due = $33,473.25 - $250 - $4,300 = $29,923.25

However, the above calculation assumes that the sales tax is calculated based on the MSRP of the car. If the sales tax is instead calculated based on the purchase price, the delivered price and amount due will be slightly different. Here are the revised calculations:

Purchase price = $30,875

Sales tax at 7% = 0.07 x $30,875 = $2,161.25

Extended warranty = $390

Registration fees = $128

Total cost = $30,875 + $2,161.25 + $390 + $128 = $33,554.25

Delivered price = $33,554.25

Rebate = $250

Down payment = $4,300

Amount due = $33,554.25 - $250 - $4,300 = $29,004.25

So, depending on how the sales tax is calculated, the delivered price and amount due may vary slightly.

Step-by-step explanation:

To find the total cost, we need to multiply the weight of each type of soup by its respective price per kilogram and then add up the costs.

The cost of 5 kg of chicken chili is:

5 kg * $0.83/kg = $4.15

The cost of 5 kg of tortilla soup is:

5 kg * $0.51/kg = $2.55

The cost of 3 kg of lobster bisque is:

3 kg * $2.02/kg = $6.06

The total cost of all three types of soup is:

$4.15 + $2.55 + $6.06 = $12.76

Therefore, the total cost of the soups is $12.76.

Answer: $12.76

Step-by-step explanation:

chicken chili = 0.83/kg

5kg x 0.83/kg = $4.15

tortilla soup = 0.51/kg

5kg x 0.51/kg = $2.55

lobster bisque =2.02/kg

3kg x 2.02/kg = $6.06

$4.15 + $2.55 + $6.06 = $12.76

Answer:

25.7831

Step-by-step explanation:

A=πr2

C=2πr

Solving forA

A=C2

4π=182

4·π≈25.7831

The measure of the indicated angle, given the right angled triangle and the dimensions, is 14.4 degrees .

How to find the measure of the angle ?

Given the position of the angle in this right angled triangle, we know that the dimensions available to us are the opposite and adjacent dimensions.

We can therefore use the tangent rule to solve for angle x such that the angle is:

Tan ( angle ) = Opposite / Adjacent

Angle x is therefore:

Tan (x ) = 10 / 39

x = Tan ⁻ ¹ ( 10 / 39 )

x = 14.4 degrees

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The correct answer is: The Stafford loan will have a higher balance by $835.39 at the time of repayment.

What is compound interest ?

For the unsubsidized Stafford Loan, the total amount borrowed will be $11,985. Interest will be charged monthly at a rate of 3.85%/12 = 0.0032083. The loan will be repaid 6 months after graduation, so the number of monthly payments will be 6*12 = 72. Using the formula for the balance of a loan with monthly compounding, we get:

[tex]Balance = 11985*(1+0.0032083)^{72} = $13,190.34[/tex]

For the PLUS Loan, the total amount borrowed will be $12,491.95. Interest will be charged monthly at a rate of 4.15%/12 = 0.0034583. The loan will be repaid immediately after graduation, so the number of monthly payments will be 12. Using the formula for the balance of a loan with monthly compounding, we get:

[tex]Balance = 12491.95*(1+0.0034583)^{12} = $12,354.95[/tex]

Therefore, the PLUS loan will have a lower balance at the time of repayment, by $835.39.

The area of the circle is approximately 4.52 square kilometers.

To find the area of a circle with radius 1.2 kilometers, we can use the formula:

Area = π × [tex]r^{2}[/tex]

Plugging in the values we get:

Area = 3.14 ×[tex]1.2^{2}[/tex]

Area = 3.14 × 1.44

Area = 4.5216

Rounding to the nearest hundredth, we get:

Area ≈ 4.52 square kilometers

The area of a circle is the measure of the region enclosed by the circle in a two-dimensional space. It is the amount of space inside the circle and is usually measured in square units, such as square meters, square feet, square centimeters, etc. The formula for calculating the area of a circle is A =[tex]\pi r^{2}[/tex]

, where A is the area, r is the radius of the circle, and π (pi) is a mathematical constant approximately equal to 3.14. In simpler terms, the area of a circle is the total surface area of the circle, including the interior region, and is directly proportional to the square of its radius.

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the complete questionis :

determine the area of the solution, use 3.14 as [tex]\pi[/tex] value and round the answer to the nearest hunderedth.

a circle with radius 1.2km is shown

Answer: The original price is $17.98

Step-by-step explanation:

The original price of the pearl was 52 euros.

What is price?

There are 15C5 or 3003 possible combinations in the sample space.There are 20C5 or 15504 possible combinations in the sample space.

What is number?

The probability of getting a fly that is white-eyed and male from the given cross is 25%.

Let's see how: The cross of a female fruit fly heterozygous for the white (w) gene with a male having the wild type red eye color can be written as: xw, xw, x, xw, y.

As per the given cross, the female parent can have two types of gametes, i.e., xw and x. The male parent can have two types of gametes, i.e., xw and y.

The possible offsprings are:xw, x (white-eyed female)

xw ,y (red-eyed male)

x ,xw (white-eyed female)

y, xw (red-eyed male)

So, there are two white-eyed females and two red-eyed males in the offspring. Out of these four, only one is a white-eyed male.

Hence, the probability of getting a fly that is white-eyed and male is 1/4, or 25%.

Therefore, the probability of getting a fly that is white-eyed and male from the given cross is 25%.

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The probability of pulling out a fair or an unfair coin cannot be determined unless the probability of obtaining heads on an unfair coin toss and the proportion of unfair coins in the jar is known.

Let p be the probability of obtaining heads on a fair coin toss. Since the coin is fair, p = 1/2. Thus, the probability of obtaining the sequence heads, heads, tails on a fair coin toss is:

p × p × (1 - p) = (1/2) × (1/2) × (1/2) = 1/8

Therefore, the probability of pulling out a fair coin is 1/8.

Let q be the probability of obtaining heads on an unfair coin toss. Since the coin is unfair, q ≠ 1/2. Thus, the probability of obtaining the sequence heads, heads, tails on an unfair coin toss is:

q × q × (1 - q)

Therefore, the probability of pulling out an unfair coin is:

Probability of pulling out an unfair coin = (Probability of obtaining the sequence heads, heads, tails on an unfair coin toss) × (Probability of choosing an unfair coin)

= q × q × (1 - q) × P (unfair)

Thus, the probability of pulling out a fair coin or an unfair coin is:

Probability of pulling out a fair or an unfair coin = 1/8 + q × q × (1 - q) × P (unfair).

Therefore, the probability of pulling out a fair or an unfair coin cannot be determined unless the probability of obtaining heads on an unfair coin toss and the proportion of unfair coins in the jar is known.

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this is just a quick addition to the good posting above by "s157778"

Check the picture below.

The volume of the solid is, 8a³/3.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, To find the volume of the solid, we first need to determine the limits of integration.

Since the cross sections are perpendicular to the x-axis, we will integrate with respect to x.

Let's consider a cross section of the solid at a particular value of x, which we will call x₀.

This cross section is a square, so its area is given by the side length squared.

The side length of the square is equal to the distance between the y-values where the graph of x² + y² = a² intersects the line x = x₀

Now, Using the equation of the circle, we can solve for y in terms of x:

y² = a² - x²

y = ± √(a² - x²)

Hence, The distance between these two y-values is therefore:

⇒ √(a² - x²) - (-√(a² - x²))

= 2√(a² - x²)

So, the area of the cross section at x = x₀ is:

Area = (2 √(a² - x²))²

= 4(a² - x²)

To find the volume of the solid, we integrate this area with respect to x from -a to a:

⇒ Volume = ∫[-a,a] 4(a² - x²) dx

= 4a² ∫[-a,a] dx - 4 ∫[-a,a] x² dx

= 8a³/3

Therefore, The volume of the solid is, 8a³/3.

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Answer:

if it triples each time you will get 19683 pennies

Step-by-step explanation:

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The probability of picking an ace on any draw is 4/52 or 1/13.

The probability that the 14th card dealt is an ace is 0.002641

We can first calculate the probability of not getting an ace on the first 13 draws, and then find the probability of getting an ace on the 14th draw:

P(No ace on 1st draw) = 48/52

P(No ace on 2nd draw) = 47/51

P(No ace on the 3rd draw) = 46/50

And so on...

P(No ace on the 13th draw) = 36/40.

P(Ace on 14th draw) = 4/39

To find the probability of these independent events, we multiply their probabilities:

P(Ace on 14th draw) = P(No ace in first 13 draws) x P(Ace on 14th draw)

P(Ace on 14th draw) = (48/52) x (47/51) x ... x (4/40) x (4/39)

P(Ace on 14th draw) ≈ 0.002641

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The 99 percent confidence interval for the mean population weight is (1.002, 1.022).

To find a 99 percent confidence interval for the mean population weight, you can use the following formula:

Confidence Interval = Mean ± (Standard Error * Critical Value)

Where:

Mean = (Sum of all the values)/ (Number of values)Standard Error = Standard Deviation / Square Root of (Number of values)Critical Value = The Z-Score for the 99th percentile

In this case, the Mean = (1.01 + .95 + 1.03 + 1.04 + .97 + .97 + .99 + 1.01 + 1.03) / 9 = 1.012

The Standard Deviation = 0.03

The Square Root of 9 is 3

The Z-Score for the 99th percentile is 2.576

Therefore, the 99 percent confidence interval for the mean population weight is 1.012 ± (0.03 / 3 * 2.576) = (1.002, 1.022).

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The linear function in the list of options is the table 1

Identifying the linear function

A function is linear if it has a constant rate of change, which means that the change in y for any two points is proportional to the change in x.

This is the same as saying that the function's graph is a straight line.

For table 1

The rate of change between (-7,0) and (-4,2) is (2-0)/(−4+7)=2/3. The rate of change between (-4,2) and (2,6) is (6-2)/(2+4)=4/6=2/3.This is the same for other pairs

Therefore, the first table represents a linear function.

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Answer: 3

20(2)-1/13

40-1/13

39/13=3

Step-by-step explanation:

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To securely send data using AES, Alice and Bob can utilize RSA for key exchange. RSA is a public-key cryptosystem, which means that each party has a public and private key.

To initiate the key exchange, Bob generates a public and private key and sends his public key to Alice. Alice then encrypts the AES key with Bob's public key and sends it back to Bob. Since only Bob has the private key, only he can decrypt the message and obtain the AES key.

Alice and Bob can now use the AES key to encrypt and decrypt their financial data. This ensures that even if someone intercepts their communication on public airwaves, the data remains secure since the AES key is only known to Alice and Bob.

It is important to note that RSA is used only for the key exchange, not for encrypting the data itself.

The data is encrypted using AES, which is much faster and more efficient than RSA for large amounts of data.

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Answer:

69,70,80 90,100,110,120,130

a. The corresponding unit rate of Dog Cakes, Bark Bits, and Woofy Waffles for each package is $1.85 per pound, $2.25 per pound, and $1.90 per pound respectively.

b. The best buy using the unit rates found in Part A is $1.85 per pound.

Part A: We divide the cost by the size to determine the unit pricing for each package.

Dog Cakes: The unit price is $74 divided by 40 pounds or $1.85 per pound.

Bark Bits: $27 divided by 12 pounds equals $2.25 per pound.

Unit pricing for Woofy Waffles is $76 divided by 40 pounds or $1.90 per pound.

Part B: We compare unit pricing to get the best purchase. The greatest deal is the package with the lowest unit price. The greatest deal in this situation is Canine Cakes, which has the lowest unit price at $1.85 per pound.

Even though Canine Cakes and Woofy Waffles have the same size (40 pounds), Canine Cakes has a cheaper unit rate than Woofy Waffles. The product with the highest unit rate is Bark Bits, making it the most costly per pound. Canine Cakes is the greatest purchase based on unit prices.

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The question is -

Jeremiah needed dog food for his new puppy. He compared the prices and sizes of three types of dog food.

Canine Cakes Bark Bits Woofy Waffles

Size (pounds) 40 12 40

Cost $74 $27 $76

Part A: Calculate the corresponding unit rate for each package.

Part B: Determine the best buy using the unit rates found in Part A. Explain your answer.

The dimension of the row space of A is 1, the dimension of the column space of A is 3, and the dimension of the null space of A is 5.

Since A has an echelon form with two zero rows, it means that there are only two nonzero rows in A. Therefore, the row space of A is spanned by a single nonzero row, which implies a dimension of 1.

On the other hand, A has three columns, and since the echelon form of A implies that there are no pivot columns beyond the first two, the column space of A is spanned by the first two columns. Thus, the dimension of the column space is 2.

Finally, since A has 5 columns with no pivot, the dimension of the null space of A is 5, by the dimension formula (i.e., the nullity of A plus the rank of A equals the number of columns in A).

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11.16 kg of cornice cement is needed for 93 meters of cornice. To calculate the amount of cornice cement required for 93 meters of cornice, we can use a proportion:

12 kg of cornice cement is required for 100 m of cornice.

Therefore, we can set up the following equation to solve for the amount of cornice cement required for 93 meters:

12 kg / 100 m = x kg / 93 m

To solve for x, we can cross-multiply:

12 kg x 93 m = 100 m x

x = (12 kg x 93 m) / 100 m

x = 11.16 kg

Therefore, 11.16 kg of cornice cement is needed for 93 meters of cornice.

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Step-by-step explanation:

(a) The greatest common factor (GCF) of 6 and 2 is 2.

(b) Using the GCF of 2, we can factor 6 - 2 as follows:

6 - 2 = 2 × 3 - 2

= 2 × (3 - 1)

= 2 × 2

Therefore, 6 - 2 = 2 × 2.

Answer:

b) Day 2-80 pages in 15 minutes

The 90% confidence interval for the population standard deviation of the thicknesses of all linoleum tiles in this factory is (2.16, 9.80), rounded to two decimal places.

To compute the 90% confidence interval for the population standard deviation of the thicknesses of all linoleum tiles in this factory, we have to make use of the Chi-square distribution.Assuming a level of significance of α=0.10, and a sample size of n = 13, we have:(n-1)S^2 / σ^2 = χ^2_(0.05, 12)

Here, S is the sample standard deviation, σ is the population standard deviation, and χ^2_(0.05, 12) represents the critical value of the Chi-square distribution at α/2 = 0.05 for 12 degrees of freedom, which is 19.68. Let's substitute these values into equation (1):(13 - 1)(4.76^2) / σ^2 = 19.68By simplifying the above equation, we get:σ = sqrt[(13 - 1)(4.76^2) / 19.68]σ ≈ 5.00

Thus, we can compute the 90% confidence interval as follows:(4.76√12/χ^2_(0.05,12),4.76√12/χ^2_(0.95,12)) = (2.16,9.80)

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2. the distribution of quiz grades for class 1 appears to be skewed right, and the distribution of quiz grades for class 2 appears to be fairly symmetric.

What is a distribution?

A distribution is skewed right when the tail of the distribution extends to the right, indicating that the data are more spread out on the right side of the distribution than on the left. Conversely, a distribution is considered to be skewed left when the tail of the distribution extends to the left, indicating that the data are more spread out on the left side of the distribution than on the right.

In this case, the distribution of quiz grades for class 1 appears to be skewed right, indicating that the data are more spread out on the right side of the distribution than on the left. The distribution of quiz grades for class 2 appears to be fairly symmetric, indicating that the data are equally spread out on both sides of the distribution.

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The number of ways in which 2 students from this group of 10 students are selected is 90 ways.

Define about the arrangements?

Generally speaking, an arrangement of elements is just a collection of them. The sequence of the n items has no bearing on the number possible "arrangements" that can be made of them (order is significant).

A permutation is an arrangement (of ordering) of a collection of items.A sequence is a grouping of any items or a collection of numbers in a specific order that adheres to some norm.An arrangement with lines or shapes is referred to as a pattern, particularly a design whereby a single shape is repeated throughout a surface at regular intervals.

Total students = 10.

So, the first student can be selected from all 10 students.

= 10 ways.

Now, total students left = 9.

So, the second student can be selected from all 10 students.

= 9 ways.

number of ways = 10*9 = 90 ways.

Thus, number of ways in which 2 students from this group of 10 students are selected is 90 ways.

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